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2 years ago

A. B. C. D.???????????????????????

Mathematics

1 answer:

Law Incorporation [45]2 years ago

4 0

Answer:

Table A and Graph A

Step-by-step explanation:

See the attached tables and graphs.

Table A gives the ordered pairs (1,2), (2,4) and (3,6).

Take the first two pairs of points.

The equation of the straight line passing through those points will be

$\frac{y - 4}{4 - 2} = \frac{x - 2}{2 - 1}$

⇒ y = 2x

Therefore, the table A represents the equation y= 2x.

Now, as shown in graph A, the points (0,0) and (1,2) and (2,4) through which this equation of straight line passes.

Therefore, the equation y = 2x is represented by graph A.

Hence, Table A and Graph A are the answers.

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OleMash [197]

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Step-by-step explanation:

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2 years ago

If there are 70 dogs to every 5 cats how many dogs are there to 70 cats

bixtya [17]

Answer:

980

Step-by-step explanation:

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2 years ago

It is known that 25% of inhabitants of a community favour a political party A.

Keith_Richards [23]

Answer:

i) $P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669$

ii) $P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317$

$P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211$

$P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669$

And replacing we got:

$P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883$

iii) $P(X$

Step-by-step explanation:

Let X the random variable of interest "number of inhabitants of a community favour a political party', on this case we now that:

$X \sim Binom(n=20, p=0.25)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part i

We want this probability:

$P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669$

Part ii

We want this probability:

$P(X\geq 3)$

And we can use the complement rule and we have:

$P(X\geq 3) = 1-P(X$

And if we find the individual probabilites we got:

$P(X=0)=(20C0)(0.25)^0 (1-0.25)^{20-0}=0.00317$

$P(X=1)=(20C1)(0.25)^1 (1-0.25)^{20-1}=0.0211$

$P(X=2)=(20C2)(0.25)^2 (1-0.25)^{20-2}=0.0669$

And replacing we got:

$P(X \geq 3) = 1- [0.00317+0.0211+0.0669]= 0.90883$

Part iii

We want this probability:

$P(X$

And replacing we got:

$P(X$

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2 years ago

The quotient of a number and 6 is<br> 14.

nydimaria [60]

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2 years ago

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